On the equivalence of certain statements in triangles
Keywords:
triangles; equivalent statements; transformations; equivalence of systemsAbstract
The equivalence of statements is one of the important concepts in mathematics. This concept plays an important role in solving some problems in both higher and school mathematics. However, sometimes these concepts are applied to problems that have different structures. In this article, general aspects are discussed to demonstrate the equivalence of some statements, as well as to solve some other problems on the topic of triangles. Furthermore, potential difficulties in this process are highlighted that still remain open problems in this field of research.
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